11937720254040 has 288 divisors, whose sum is σ = 45578748580560. Its totient is φ = 2701605312000.

The previous prime is 11937720254017. The next prime is 11937720254081. The reversal of 11937720254040 is 4045202773911.

11937720254040 is a `hidden beast` number, since 1 + 1 + 9 + 37 + 7 + 202 + 5 + 404 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1568566 + ... + 5131845.

Almost surely, 2^{11937720254040} is an apocalyptic number.

11937720254040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11937720254040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22789374290280).

11937720254040 is an abundant number, since it is smaller than the sum of its proper divisors (33641028326520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11937720254040 is a wasteful number, since it uses less digits than its factorization.

11937720254040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6700543 (or 6700529 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 11937720254040 in words is "eleven trillion, nine hundred thirty-seven billion, seven hundred twenty million, two hundred fifty-four thousand, forty".